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Finding the Fourth Proportional to 405.76, 560.22 and 258.46

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Solution

The fourth proportional to 405.76, 560.22 and 258.46 is: 356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.76 : 560.22 = 258.46 : x
  2. Step 2: Convert to fraction form
    405.76/560.22 = 258.46/x
  3. Step 3: Cross multiply
    405.76x = 560.22 × 258.46
  4. Step 4: Simplify right side
    405.76x = 144,794.46
  5. Step 5: Solve for x
    x = 144,794.46/405.76
  6. Step 6: Final answer
    x = 356.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.